Question

What is the average rate of change of g(x)=−6+7x between the points (−3,−27) and (5,29)?

Answer 1

Step-by-step explanation:

Answer:

It is the same as the slope of the line through those points.

Explanation:

Using the definition

Δ

y

Δ

x

=

y

2

−

y

1

x

2

−

x

1

=

3

−

(

−

7

)

3

−

(

−

2

)

=

10

5

=

2

Using prior knowledge

The two points line on a line that has slope

2

so the slope of the line through the two points is

2